Question

Сравните числа:

a) 12516 и 111100010102

б) 7578 и 11100101012

в) A2316 и 12328

Answer 1

а) $125_{16} = 1*16^2+2*16^1+5*16^0 = 293_{10}$

 

$11110001010_2 = 1930_{10}$

 

293<1930

 

$125_{16} < 11110001010_2$

 

б) $757_{8} = 7*8^2+5*8^1+7*8^0 = 495_{10}$

 

$1110010101_2 = 917_{10}$

 

495<917

 

$<var>757_{8}</var> < <var>1110010101</var>_2$

 

в) $A23_{16} = 10*16^2+2*16^1+3*16^0 = 2595_{10}$

 

$1232_8 = 666_{10}$

 

2595>666

 

$<var>A23_{16}</var> > <var>1232_8</var>$